Question

PLEASE HALP
Write an equation of the line, in point-slope , that passes through the two given points.
points: (-2, 15), (9, -18)

Answer 1

Hello?

Answer 2

You'll need the slope between those two points. Please demonstrate.

Answer 3

hi,
to find the equation
u must firs find out the gradient and the intercept...

If we assume that the format of the equation we will get is
y = mx + c
where "m" is the gradient or the slope
and "c" is the intercept...

Let's find the slop first...
\[gradient = \frac{ \Delta Y }{ \Delta X }\]
where..
\[\Delta Y = difference \ of \ Y \ coordinates\]
\[\Delta X = difference \ of \ x \ coordinates\]

so with the 2 pair of coordinates given
the difference of X coordinates is = 9 - (-2) = 11
difference of Y coordinates is = -18 - (15) = -33

so ...
gradient = -33/11 = -3

so we can rewrite our equation as...
y = mx + c
y =-3)x + c

now to find the intercept let's use the coordinate (-2, 15),
according to that
y coordinate = 15
x coordinate = -2

let's substitute them in our equation...
y = -3x +c
15 = -3(-2) +c
c = 9

that's it!! we have now finished the equation of the question....
So the finale answer is
y = -3x +9

Hope this will help ya!!!

Answer 4

Did ya get it :-) ?